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Finding the Fourth Proportional to 311,800.95, 430,274.83 and 197,141.31

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Solution

The fourth proportional to 311,800.95, 430,274.83 and 197,141.31 is: 272,048.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,800.95 : 430,274.83 = 197,141.31 : x
  2. Step 2: Convert to fraction form
    311,800.95/430,274.83 = 197,141.31/x
  3. Step 3: Cross multiply
    311,800.95x = 430,274.83 × 197,141.31
  4. Step 4: Simplify right side
    311,800.95x = 84,824,943,646.23
  5. Step 5: Solve for x
    x = 84,824,943,646.23/311,800.95
  6. Step 6: Final answer
    x = 272,048.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.